1114W3Af11 - MAC1114 002 003 005 Name:_____________________...

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Unformatted text preview: MAC1114 002 003 005 Name:_____________________ Worksheet 3A (circle your section) due October 24, 2011 ___________________________________________________________________________________________________ Read and follow all directions carefully. Include as much relevant work as possible to ensure maximum credit. ___________________________________________________________________________________________________ (8 pts) 1. TRUE or FALSE ? a) tanx tan( x)-- =-- =-- =-- = is true for all values of x. a)___________ b) The graph of y cscx = has origin symmetry. b)___________ c) f(x) cosx sinx = + = + = + = + is an even function. c)___________ d) for all angles cos 2cos cos(3 ) + = + = + = + = . d)___________ ----------------------------------------------------------------------------------------------------------------------------------------------------- (8 pts) 2. Use identities from section 5.1 to re-write each of the following in terms of nothing but sines and cosines. Simplify the result so that each answer is in terms of a single function (not necessarily sines or cosines), with no quotients. a) tanxcscx a)___________ b) tanx secx b)___________ 2 The directions for the three problems on this page are the same. First use a calculator to draw the graph over interval [0, 2 ] . Then use the graph to conjecture an identity. Verify your conjecture by using appropriate algebra and identities from chapter 5, clearly showing all steps used in the process. Use the back if you need more room. ----------------------------------------------------------------------------------------------------------------------------------------------------- (12 pts) 3. y cot xcosx sinx = + = + = + = + /2 3 /2 2 -4-3-2-1 1 2 3 4 x y cot xcosx sinx + = + = + = + = _______________ ----------------------------------------------------------------------------------------------------------------------------------------------------- (12 pts) 4. cos x 1 1 y 2 1 sin x 1 sin x = + = + = + = + +- +- +- +- /2 3 /2 2 -4-3-2-1 1 2 3 4 x y cos x 1 1 2 1 sin x 1 sin x + = + = + = + = +- +- +- +- ________________ ----------------------------------------------------------------------------------------------------------------------------------------------------- (12 pts) 5. 3 y cos x 2 =- =- =- =- 3 cos x 2 - =- =- =- = _____________ /2 3 /2 2 -1-0.5 0.5 1 x y 3 (10 pts) 6. a) Given that tan(A B) 2- =- =- =- = and tan(A) 7 = , with A and B both quadrant 1 angles....
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This note was uploaded on 11/16/2011 for the course MAC 1114 taught by Professor Cohen during the Fall '09 term at Santa Fe College.

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1114W3Af11 - MAC1114 002 003 005 Name:_____________________...

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